$y = C e ^ { 4 x ^ { 2 } }$

question 38

Short Answer

$y = C e ^ { 4 x ^ { 2 } }$ is the solution of the differential equation $y ^ { \prime } = 8 x y$ . Find the solution that satisfies the initial condition $y ( 1 ) = 1$ .

---

Definitions:

Hypothalamus

A region of the brain below the thalamus that coordinates both the autonomic nervous system and the activity of the pituitary, controlling body temperature, thirst, hunger, and other homeostatic systems, and involved in sleep and emotional activity.

Sexual Orientation

An enduring pattern of emotional, romantic, or sexual attractions to men, women, both sexes, neither sex, or another sex, and the sense of identity based on those attractions.

Older Brothers

Male siblings who are older, often referenced in studies examining birth order and its psychological or social effects.

Sexual Identity

An individual's conception of themselves in relation to their sexual orientation, preferences, and partners.